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Finding the Third Proportional to 266,339 and 572,205.50

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Solution

The third proportional to 266,339 and 572,205.50 is: 1,229,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,339 : 572,205.50 = 572,205.50 : x
  2. Step 2: Convert to fraction form
    266,339/572,205.50 = 572,205.50/x
  3. Step 3: Cross multiply
    266,339x = 572,205.50 × 572,205.50
  4. Step 4: Simplify right side
    266,339x = 327,419,134,230.25
  5. Step 5: Solve for x
    x = 327,419,134,230.25/266,339
  6. Step 6: Final answer
    x = 1,229,332.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.